An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?

Answers

Answer 1

Answer:

40 more paintings in order to maximize sales making a total of 60 paintings

Step-by-step explanation:

Let x= no.of copies above 20

Total Sales(x) = (number of copies)(price per copy)

Sales (x)= (20 +x)(100 –x)

Open bracket

=1200-20x+100x-x^2

=1200+80x-x^2

Derivative of the sales

80-2x=0

80=2x

Divide both sides by 2

40=x

Because Sales(x)= –2, this is maximal by the second derivative test

The artist should make 40 more paintings in order to maximize sales making a total of 60 paintings.

Answer 2

The artist 60 copies should he make to maximize his sales

The artist can sell 20 copies at $100 each.

So, the total sales is:

Total =(20) * (100)

For each additional copy he makes, the value of each painting reduce by a dollar.

So, the total sales becomes

Total = (20 + x) * (100 - x)

Rewrite as:

\(y = (20 + x) * (100 - x)\)

Expand

\(y = 2000 - 20x + 100x - x^2\)

Evaluate the like terms

\(y = 2000 +80x - x^2\)

Differentiate

\(y' = 80 - 2x\)

Set to 0

\(80 - 2x = 0\)

Collect like terms

\(- 2x = -80\)

Divide both sides by -2

\(x = 40\)

Recall that the initial copies is 20.

So, the new copies would be:

New = 20 + 40

New = 60

Hence, the artist 60 copies should he make to maximize his sales

Read more about maximum values at:

https://brainly.com/question/10782019


Related Questions

Give correct answer and I will give you branlist

Give correct answer and I will give you branlist

Answers

Hello!

Space = 5 cm + 10cm + 10cm + 20cm + 22cm + 30cm => space = 15cm + 10cm + 20cm + 22cm + 30cm => space = 25cm + 20cm + 22cm + 30cm => space = 45cm + 22cm + 30cm => space = 67cm + 30cm => space = 97cm²

Good luck! :)

Answer:

97cm square

Step-by-step explanation:

what is the measure of angle 15

what is the measure of angle 15

Answers

Answer:

A

Step-by-step explanation:

m<15 = m<1 because of how the transversals are placed. so m<1 = 90º - 65º = 25º

that means that m<15=25º

Answer:

<15=25º

Step-by-step explanation:

big brain

2 1/2 divided by 4 3/4 as a fraction

Answers

The answer is 10/19 :)

How do the angle measures and side lengths compare in similar figures ?

Answers

Answer:

Matching sides of two or more polygons are called corresponding sides, and matching angles are called corresponding angles. If two figures are similar, then the measures of the corresponding angles are equal and the ratios of the lengths of the corresponding sides are proportional.

Step-by-step explanation:

The angles are congruent in a similar figure and the ratio of the sides is in proportion.

What are similar figures?

Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent, and the ratios of the lengths of their corresponding sides are equal. This common ratio is called the scale factor.

Given: Two figures are similar for example say two triangles are similar then Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. We denote the similarity of triangles here by ‘~’ symbol.

Hence, The angles are congruent in a similar figure and the ratio of the sides is in proportion.

Learn more about similarity and congruence here:

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Anyone understand this???

Anyone understand this???

Answers

Answer: 26

We would add the total responses recorded in the Girls row, which is equal to 32. We would then subtract it from the total of that row, 38. 38 - 32 is equal to 6. 6 girls chose their answer as English. We can check our work by adding the responses to see if they added up to the total. Now we move to the boys. The Maths column is 5. The boys row is missing 2 things - english and total. We can find the total by subtracting 38 from 70. This is equal to 32. Now, we can add 7 and 5 (12) and subtract from the row total (32). This is equal to 20. 20 boys chose English.

Now we add the girls and boys. 6 + 20 is equal to 26. 26 is your answer.

Hope this helps.

I think the answer is 26!!!

What is the value of the expression m8−(34−n) in simplest form, when m = 6 and n = 18?

please hurry

Answers

Answer:
N is just simply 18

so 6*8-(34-18) and use pemdas to solve

34-18=16

6*8-16

48-16

32

so the value is 32

The value of the expression for m = 6 and n = 18 is 16,79,600.

What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the expression as -

m⁸ - (34 - n)

The expression given is -

m⁸ - (34 - n)

Now, for m = 6 and n = 18, we can write -

6⁸ - 34 + 18

6⁸ - 16

(6 x 6) x (6 x 6) x (6 x 6) x (6 x 6) - (16)

36 x 36 x 36 x 36 - 16

16,79,616 - 16

16,79,600

Therefore, the value of the expression for m = 6 and n = 18 is 16,79,600.

To solve more questions on algebraic expressions, visit the link below -

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For a beach trip, Sarai spends $9 on sunscreen, $18 on beach towels, $22 on food, $9 on a first aid kit, and $11 on sand toys.

Which measure of center is represented by $9?
mean
median
mode
outlier

Answers

$9 represents the Mode
Mode is data that occurs the most

Answer:

Step-by-step explanation:

mode

At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.


Ketchup Relish Chili
54 36 60


Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042

Answers

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

PLEASE HELP DUE 11:59PMDavid and Dora are close friends studying in the same school. David's home is 6.87 miles away from school. Dora's home is 7 times as far as David's home from school. find the distance between Dora's school and her home

Answers

Doras distance is 48.09 from her school and her home
48.09 miles from Doras home to the school

Help me please please

Help me please please

Answers

1. a=3
2. c=8.9
3. c=6.3
4. c=26
5. c=7.8
6. c=17
7. c=10
8. b=15
9. b=10.7
10. a=13.2
11. yes
12. no
13. yes
14. no
15. yes
16. no

Answer:

1. a=3

2. c=8.9

3. c=6.3

4. c=26

5. c=7.8

6. c=17

7. c=10

8. b=15

9. b=10.7

10. a=13.2

11. yes

12. no

13. yes

14. no

15. yes

16. no

A construction crew is lengthening a road that originally measured 41 miles. The crew is adding one mile to the road each day. Let L be the length (in miles) after D days of construction. Write an equation relating L to D. Then use this equation to find the length of the road after 38 days.

Answers

We can simply find our answer and this is our solution
38D+41=L

Answer:

We can simply find our answer and this is our solution

38D+41=L

Step-by-step explanation:

Mt Everest is 8,848 meters tall How many kilometers tall is Mt Everest

Answers

Answer:

8.848

Step-by-step explanation:

i know this bc i am big brain

Answer:

8.848

Step-by-step explanation:

Find the volume of a prism. Show your work.

Find the volume of a prism. Show your work.

Answers

Answer:

Step-by-step explanation:

11 times 22

the area of its cross-section multiplied by the length

answer: 242cm squared

The answer is 242 CM squared. The answer above explains better than I can :)

Answer this please...Due Today!!!!

Answer this please...Due Today!!!!

Answers

Answer:1/36

Step-by-step explanation:

Since the first one has a 1/6 chance because it is a 6-sided dice, and the second roll has to be 1/6. Once you multiply 1/6 by 1/6 you get 1/36

PLEASE HELP I NEED ANSWER SOON

PLEASE HELP I NEED ANSWER SOON

Answers

Answer:

y = 6x

Step-by-step explanation:

So for this we simply find a x and y coordinate (ex. (10, 60))

Since we see that the y coordinate is 6 times of the x coordinate, we know that the equation for this proportional relationship is y = 6x.

Hope this helps!

./skekdnxxabsk13728so if you july. did they a t

36 3/6 divided by 36 1/2

Answers

Answer:

Step-by-step explanation:

We have the same 36 so just eliminate them and we are left with 3/6 multiple by 2 and we have the final answer which is 1

Answer:

(1)

Step-by-step explanation:

Hope this helped:)

WILL GIVE BRAINLIEST find vertex of parabola y=x^2-x

Answers

Answer:

\((\frac{1}{2},-\frac{1}{4})\)

(20,-3) (19,-20) formula is: y2-y1/x2-x1
x1 y1 x2 y2

when i solved i got -17/-1, but my calculator says it's 17! i tried searching and it said to divide the fraction to get 17, but why do i have to divide? can someone please help me, thank u!

Answers

Answer:

17

Step-by-step explanation:

The first thing to do is plug in the numbers for the equation. Starting with:

[-20-(-3)]/(19-20)

When you answer that you simplify the answer to

(-20+3)/(19-20)

You answer what is in the parenthesis first.

(-17)/(-1)

After this step you simplify.

17.

The answer is seventeen because any number over 1 is just the number. For example, 3/1=3. The answer is positive because the negative in the numerator and denominator cancel eachother out. leaving the answer as 17.

The answer would be 17 if I’m correct

Which list orders the numbers from least to greatest?

Negative 2.4, negative 1.5, negative 2 and one-fourth, negative 3, negative 1 and one-eighth

A number line going from negative 4 to positive 4.
Negative 1 and one-eighth, negative 1.5, negative 2 and one-fourth, negative 2.4, negative 3
Negative 3, negative 2.4, negative 2 and one-fourth, negative 1.5, negative 1 and one-eighth
Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5
Negative 1.5, negative 1 and one-eighth, negative 2.4, negative 2 and one-fourth, negative 3

Answers

Negative 3, negative 2.4, negative 1.5, negative 2 and one-fourth, negative 1 and one-eighth


Hope my answer helps you✌️

Negative 3, negative 2 and one-fourth, negative 2.4, negative 1 and one-eighth, negative 1.5 is the list that orders the numbers from least to greatest.

The semi circle has a diameter of 5 meters what is the area of this figure use 3.14 to for pi enter your answer as a decimal in the box Round your answer to the nearest hundredth !

Answers

Answer:

Step-by-step explanation:

So if the area of a circle is pi times the radius squared, since it is a semi circle, you would to 3.14 times 5 squared /2 to find the answer to the question.

PLEASE HELP, WILL GIVE BRAINLIEST!!
The table shows the location of different animals compared to sea level. Determine if each statement is True or False.
The distance between the fish and
the dolphin is |–3812 – (–8414)| = 4534 feet.
True or False?

The distance between the shark
and the dolphin is |–145 – 8414| = 22934 feet.
True or False?

The distance between the fish and
the bird is |1834 – (–3812)| = 5714 feet.
True or False?

The distance between the shark
and the bird is |1834 – 145| = 12634 feet.
True or False?

PLEASE HELP, WILL GIVE BRAINLIEST!! The table shows the location of different animals compared to sea

Answers

Fish and Dolphin: False 4602 ft
Shark and dolphin: false 8559 ft
Fish and bird: false 1689 ft
Shark and bird: false 1689 ft

Answer:

Fish and Dolphin: False 4602 ft

Shark and dolphin: false 8559 ft

Fish and bird: false 1689 ft

Shark and bird: false 1689 ft

Step-by-step explanation:

just did this question on a quiz .

Does anyone have the answer key to "Understand Systems of Linear Equations I-ready level H instruction?"

Answers

Answer:

no bro, sorry. even though I needed to I don't have it

please help! what are consecutive numbers?

Answers

The definition of consecutive numbers is that;

Consecutive numbers are defined as numbers that follow each other in the natural sequence of numbers either from largest to smallest or from smallest to largest.

What are Consecutive Numbers?

In a number line, we know that positive integers follow themselves in the natural way the numbers are being counted.

For example when counting from one to ten the order is;

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

Thus, consecutive numbers are defined as numbers that follow each other in the natural sequence of numbers either from largest to smallest or from smallest to largest.

Read more about consecutive numbers at; https://brainly.com/question/10853762

Please help ASAP! I attached a screenshot.

Please help ASAP! I attached a screenshot.

Answers

Answer:B,C

Step-by-step explanation:

6/9=2/3=18/27=30/54

Answer: 18/27

: that’s the only one I know sorry

Describe the process you would use to find the solution to the problem 3 1/4 minus1 1/3. Express your answer numerically and with a graphical representation.

Answers

Answer:

1 11/12

Step-by-step explanation:

Notice (right away) that the denominators of the fractions are different (4 and 3).  

Identify the LCD:  It is 12.

Convert the two given numbers to mixed numbers with LCD 12:

3 3/12

-1  4/12

-----------

4/12 is greater in magnitude than 3/12, so we must 'borrow' from the digits' place.  Recall that 1 = 12/12.

Then 3 3/12    =    2 15/12.  -1 4/12 stays the same; it has LCD 12.

Then, perform the indicated subtraction:

2 15/12

-1   4/12

------------

 1  11/12 (answer:  this is the difference "3 1/4 less 1 1/3")

3 1/4 - 1 1/3=
3 3/12 - 1 4/12=
2 15/12 - 1 4/12=
1 11/12

What’s the measure of x?

( It’s on khan academy ) thanks :)

50 points!!! and will give brainlyiest

Whats the measure of x? ( Its on khan academy ) thanks :)50 points!!! and will give brainlyiest

Answers

Answer:

\(\huge\boxed{\sf x =28 \textdegree}\)

Step-by-step explanation:

Given that,

∠IAK = 62°

∠IAK + ∠IAD = 90° (Complementary angles)

62 + ∠IAD = 90°

Subtract 62 to both sides

∠IAD = 90 - 62

∠IAD = 28°

∠IAD = ∠ACB (Corresponding angles are equal)

So,

∠ACB = 28°

∠ACB = ∠GCJ (Vertically opposite angles are equal)

So,

28° = x°

OR

x° = 28°

\(\rule[225]{225}{2}\)

Answer:

28 degrees

Step-by-step explanation:

If two lines cross each other, it makes 4 angles, and 2 angles from opposite sides have the same length. Since line KL and line IJ crossed, angle KAI and angle LAJ will have the same angle.

--> Angle LAJ is 62 degrees

If we look closely, there is a triangle ABC, and since the question said that line KL and line FG is perpendicular, the angle ALG will be 90 degrees.

We know that in a triangle, there are three angles, and the angle measures combined equals 180.

Since we know two angles: 90 and 62, we take them away from 180 to find the last angle BCA.

--> 180 - 90 - 62 = 28

--> Angle BCA = 28 degrees

Like I said at the beginning, if two lines cross each other, opposite angles are the same size. So angle x will also be equal to angle BCA, which is 28 degrees.

Angle x = 28 degrees

4 kg, 35 grams = ____ grams

Answers

Answer:

4,035

Step-by-step explanation:

What is the surface area of this triangular prism rounded to the nearest tenth?
A. 133.5 ft^2
B. 152.6 ft^2
C. 163.7 ft^2
D. 145.3 ft^2

What is the surface area of this triangular prism rounded to the nearest tenth?A. 133.5 ft^2B. 152.6

Answers

I think the answer is B
152.6ft^2 I believe

A jacket with an original price of d dollars now has a 35% off sales price. Which expression does NOT represent the sales price.
(A) 0.65d
(B) d - 0.35d
(C) 0.35d
(D) d(1 - 0.35)

Answers

Answer:

D) d(1 - 0.35)

Step-by-step explanation:

See price = Price of item - (Percentage discount price × Price of item

= D - (35% × D)

= D - (0.35D)

= D(1 - 0.35)

= D(0.65)

= 0.65D

Answer: I think D.

Step-by-step explanation: I hope this helps!

Find the value of each variable and the measure of each angle.

Find the value of each variable and the measure of each angle.

Answers

Answer:

x = 14

Step-by-step explanation:

The angles with the measures (x+12) and (3x-16) are vertical, which makes their measures equal.

x+12 = 3x-16

On both sides, subtract 3x and subtract 12 to get this.

-2x = -28

Divide by -2.

x = 14

Answer:

The value of x = 14.

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